Pith Number

pith:6BRN5LX5

pith:2016:6BRN5LX5SA7SG4PEU74UXMQDNA

not attested not anchored not stored refs pending

A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent

Claudianor O. Alves, Leandro da S. Tavares

arxiv:1609.09558 v2 · 2016-09-30 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BRN5LX5SA7SG4PEU74UXMQDNA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:40:28.758053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f062deaefd903f2371e4a7f94bb203681523603686dd634441c99ba1b64a315c

Aliases

arxiv: 1609.09558 · arxiv_version: 1609.09558v2 · doi: 10.48550/arxiv.1609.09558 · pith_short_12: 6BRN5LX5SA7S · pith_short_16: 6BRN5LX5SA7SG4PE · pith_short_8: 6BRN5LX5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6BRN5LX5SA7SG4PEU74UXMQDNA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f062deaefd903f2371e4a7f94bb203681523603686dd634441c99ba1b64a315c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c446203266ba1b1e6640538217b206754e91c6ee15a471886d34e1a4082798f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-30T01:08:52Z",
    "title_canon_sha256": "dcdf61a2f7e7e05a7bd5855367196386cd86be940236cf557fa23e11aa963eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09558",
    "kind": "arxiv",
    "version": 2
  }
}